I always wonder how vectors are used in real life.Vectors and decomposition of vectors,dot and cross products are taught in the early stage in every undergraduate physics course and in every university.My question is how and where are vectors used? Do physicists really use vectors in every day life? If so where?

What Is a Vector?

By Steven Holzner from Physics I For Dummies, 2nd Edition

In physics, when you have a vector, you have to keep in mind two quantities: its direction and its magnitude. Quantities that have only a magnitude are called scalars. If you give a scalar magnitude a direction, you create a vector.

Visually, you see vectors drawn as arrows, which is perfect because an arrow has both a clear direction and a clear magnitude (the length of the arrow). Take a look at the following figure. The arrow represents a vector that starts at the arrow’s foot (also called the tail) and ends at the head.

http://www.dummies.com/how-to/content/what-is-a-vector.html

http://physics.stackexchange.com/questions/14808/uses-of-vectors-in-real-life